greg has 2 quarters, 1 dime, and 3 nickles. Stan has 3 quarters, 2 dimes, and 2 nickles. how can they share the coins so that they both have the same amount of money?
Find out how much money they have together. Then divide by 2.
2 quarters + 1 dime + 3 nickles = ?
3 quarters + 2 dimes + 2 nickles = ?
To determine how Greg and Stan can share the coins so that they have the same amount of money, we need to find out the total value of each person's coins and then distribute them evenly. Let's calculate their individual totals.
Greg's total:
- Number of quarters: 2
- Number of dimes: 1
- Number of nickels: 3
To calculate Greg's total, we need to determine the value of each coin and then add them up:
- Value of 1 quarter = $0.25
- Value of 1 dime = $0.10
- Value of 1 nickel = $0.05
Calculating Greg's total:
2 quarters x $0.25/quarter = $0.50
1 dime x $0.10/dime = $0.10
3 nickels x $0.05/nickel = $0.15
Greg's total value = $0.50 + $0.10 + $0.15 = $0.75
Stan's total:
- Number of quarters: 3
- Number of dimes: 2
- Number of nickels: 2
To calculate Stan's total, we perform the same calculations as before:
- Value of 1 quarter = $0.25
- Value of 1 dime = $0.10
- Value of 1 nickel = $0.05
Calculating Stan's total:
3 quarters x $0.25/quarter = $0.75
2 dimes x $0.10/dime = $0.20
2 nickels x $0.05/nickel = $0.10
Stan's total value = $0.75 + $0.20 + $0.10 = $1.05
Since Greg has $0.75 and Stan has $1.05, we need to distribute some coins from Stan to Greg to equalize the amount.
To find a solution, we want to make the difference between their totals as small as possible. We can do this by subtracting $0.75 (Greg's total) from $1.05 (Stan's total).
$1.05 - $0.75 = $0.30
The goal is to distribute coins that equal $0.30. We can use a combination of quarters, dimes, and nickels to achieve this.
One possible solution would be for Stan to give Greg two nickels ($0.05 x 2 = $0.10) and one dime ($0.10) to balance out their totals.
After this distribution, both Greg and Stan will have $0.85:
Greg's total: $0.75 + $0.10 = $0.85
Stan's total: $1.05 - $0.10 - $0.10 = $0.85
Therefore, by giving Greg two nickels and one dime, they will both have the same amount of money.